Details

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	6
1	52	6
2	117	6
3	240	6
4	478	6
5	947	6
6	1844	6
7	5001	6

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- x y) (+ x y))
0.0b	(+ (* x x) (* y y))
22.1b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3-+` `flip-+` `associate-/l/`
7×	`add-cube-cbrt`
6×	`flip3--` `flip--`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-r/` `associate-r` `associate-l/`
3×	`expm1-log1p-u` `times-frac` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `distribute-rgt-in` `fma-def` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 80

Calls

3 calls:

21.0ms	(* (- x y) (+ x y))
3.0ms	(+ (* x x) (* y y))
12.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series134.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (- x y) (+ x y))
31.0ms	(+ (* x x) (* y y))
61.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	435	575
1	2499	504
2	5001	494

prune204.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot x y)
0.0b	(hypot x y)
0.0b	(* (hypot x y) (hypot x y))
22.1b	(/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity` `associate-/l/`
6×	`hypot-udef`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `flip3-+` `swap-sqr` `associate-r` `associate-l` `flip--` `flip-+`
2×	`associate-r/` `associate-l/`
1×	`pow2` `frac-2neg` `times-frac` `pow-plus` `sqrt-unprod` `pow-prod-down` `clear-num` `associate-/r` `rem-square-sqrt` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

0.0ms	(hypot x y)
0.0ms	(hypot x y)
5.0ms	(* (hypot x y) (hypot x y))
11.0ms	(/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(hypot x y)
50.0ms	(hypot x y)
67.0ms	(* (hypot x y) (hypot x y))
93.0ms	(/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	323	491
1	1937	386
2	5002	382

prune381.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot x y)
0.0b	(/ (- x y) (hypot x y))
0.0b	(/ (+ x y) (hypot x y))
0.0b	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
58×	`times-frac`
40×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-l`
16×	`associate-r`
9×	`associate-/l*`
7×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/r*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `hypot-udef` `flip3--` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `flip-+`

Counts

4 → 146

Calls

4 calls:

0.0ms	(hypot x y)
11.0ms	(/ (- x y) (hypot x y))
8.0ms	(/ (+ x y) (hypot x y))
29.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(hypot x y)
91.0ms	(/ (- x y) (hypot x y))
90.0ms	(/ (+ x y) (hypot x y))
92.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	491	1105
1	2109	999
2	5003	997

prune322.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) 3))
0.0b	(/ (+ x y) (hypot x y))
0.0b	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))
0.0b	(pow (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) 3)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
50×	`add-sqr-sqrt`
43×	`times-frac`
32×	`add-cube-cbrt`
31×	`add-exp-log` `add-cbrt-cube`
19×	`associate-l`
16×	`associate-r`
9×	`pow1` `cbrt-undiv` `div-exp`
8×	`cbrt-prod` `prod-exp` `cbrt-unprod`
7×	`distribute-lft-out`
6×	`cube-div`
5×	`pow-exp` `rem-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
3×	`frac-times` `pow-unpow` `cbrt-div` `associate-r/` `associate-l/` `associate-/r*` `div-inv` `distribute-lft-out--` `difference-of-squares`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `associate-/l/` `sqr-pow`
1×	`pow-to-exp` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `*-commutative` `rem-cbrt-cube` `flip-+`

Counts

4 → 151

Calls

4 calls:

1.0ms	(cbrt (pow (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) 3))
8.0ms	(/ (+ x y) (hypot x y))
31.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))
10.0ms	(pow (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) 3)

series389.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (pow (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) 3))
89.0ms	(/ (+ x y) (hypot x y))
90.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))
103.0ms	(pow (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) 3)

simplify71.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	538	1246
1	2700	1191
2	5002	1183

prune381.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

end0.0ms

sample462.0ms

Algorithm

intervals

Results

226.0ms	8000×	body	80	valid
103.0ms	8000×	pre	80	true